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Finding the Fourth Proportional to 173.19, 239.04 and 106.82

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Solution

The fourth proportional to 173.19, 239.04 and 106.82 is: 147.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.19 : 239.04 = 106.82 : x
  2. Step 2: Convert to fraction form
    173.19/239.04 = 106.82/x
  3. Step 3: Cross multiply
    173.19x = 239.04 × 106.82
  4. Step 4: Simplify right side
    173.19x = 25,533.06
  5. Step 5: Solve for x
    x = 25,533.06/173.19
  6. Step 6: Final answer
    x = 147.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.